 | Euclides - 1856 - 168 σελίδες
...of a square are likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...times that on one of the sides; compare the two sides. 4. If a straight line be divided into two equal and also into two unequal parts; the rectangle contained by the unequal parts together with the square of the line between the points of section is equal to the square of half the line. State this result... | |
 | 1857 - 408 σελίδες
...the other two sides of it, the angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle contained by the unequal parts, together with the square of the line between the points of... | |
 | War office - 1858 - 578 σελίδες
...loses 18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section is equal to the square of half the line. 2. Equal straight... | |
 | Euclides - 1858 - 248 σελίδες
...to various operations connected with the extraction of the Square root. PROP. 9. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
 | Euclides - 1858 - 136 σελίδες
...Лx. 1. Conc. l ¡î.'1'ЯP. AIij. ,f AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
 | 1859 - 414 σελίδες
...triangle. 8. Bisect a parallelogram by a line drawn through a given point within the figure. 9. If a line be divided into two equal parts and also into...unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points of section, is equal to the square of... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...income, and what the expenditure of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 2. Describe a square... | |
 | Euclides - 1860 - 288 σελίδες
...parallelograms about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into...section, is equal to the square on half the line. Given the straight line AB, divided into two equal parts in the point C, and into two unequal parts... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 9. Describe a square... | |
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If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 
